Respective means belonging to each one separately. Two people, two coats, and each takes their own.
The word exists to stop a sentence being ambiguous: they returned to their respective homes means each went to their own home, not that they shared one. It only ever appears before a plural noun, and it always needs at least two things to divide between. The adverb respectively does the same job for lists, matching two sequences in order, as in first and second prizes went to Ali and Sam respectively.
1adjectiverespectiveBelonging separately to each of the people or things mentioned.
“The candidates set out their respective positions.”
Latin
respectus
Medieval Latin
respectivus
English, today
respective
Borrowed from Medieval Latin respectivus, from Latin respectus. by surface analysis, en + respect + ive.
Etymology from Wiktionary, CC BY-SA